Is quantum Einstein gravity nonperturbatively renormalizable?

Lauscher, O.; Reuter, Martin

doi:10.1088/0264-9381/19/3/304

Cited by 225 publications

(298 citation statements)

References 48 publications

(52 reference statements)

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“…Addressing this problem systematically presumably requires the inclusion of higher derivative operators like the square of the intrinsic Ricci scalar ( (d) R) 2 in the truncation ansatz. Since the inclusion of such higher-derivative terms in the truncation ansatz is known to be very laborious [55,9,56] and beyond a first investigation of foliated RG flows, we do not pursue this direction further and leave it to future research.…”

Section: The Decompactification Limitmentioning

confidence: 99%

A functional renormalization group equation for foliated spacetimes

Rechenberger

Saueressig

2013

J. High Energ. Phys.

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We derive an exact functional renormalization group equation for the projectable version of Hořava-Lifshitz gravity. The flow equation encodes the gravitational degrees of freedom in terms of the lapse function, shift vector and spatial metric and is manifestly invariant under background foliation-preserving diffeomorphisms. Its relation to similar flow equations for gravity in the metric formalism is discussed in detail, and we argue that the space of action functionals, invariant under the full diffeomorphism group, forms a subspace of the latter invariant under renormalization group transformations. As a first application we study the RG flow of the Newton constant and the cosmological constant in the ADM formalism. In particular we show that the non-Gaussian fixed point found in the metric formulation is qualitatively unaffected by the change of variables and persists also for Lorentzian signature metrics.

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Section: The Decompactification Limitmentioning

confidence: 99%

A functional renormalization group equation for foliated spacetimes

Rechenberger

Saueressig

2013

J. High Energ. Phys.

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“…Recently a lot of work went into the exploration of the Wilsonian renormalization group (RG) flow of Quantum Einstein Gravity [1,2,3,4,5,6,7,8,9] and its possible impact on black holes and cosmology [10,11,12,13,14,15,16]. By definition, Quantum Einstein Gravity (QEG) is the conjectured quantum field theory of the spacetime metric whose bare action is (infinitesimally close to) an ultraviolet (UV) attractive non-Gaussian fixed point of the RG flow.…”

Section: Introductionmentioning

confidence: 99%

Proper Time Flow Equation for Gravity

Bonanno¹,

Reuter²

2005

J. High Energy Phys.

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115

114

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We analyze a proper time renormalization group equation for Quantum Einstein Gravity in the Einstein-Hilbert truncation and compare its predictions to those of the conceptually different exact renormalization group equation of the effective average action. We employ a smooth infrared regulator of a special type which is known to give rise to extremely precise critical exponents in scalar theories. We find perfect consistency between the proper time and the average action renormalization group equations. In particular the proper time equation, too, predicts the existence of a non-Gaussian fixed point as it is necessary for the conjectured nonperturbative renormalizability of Quantum Einstein Gravity.

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“…The gravitational antiscreening behavior is very similar to the running of the non-Abelian gauge coupling in Yang-Mills Theory, but only after the introduction of the effective average action and its functional renormalization group equation for gravity [4] detailed investigations of the scaling behavior of the Newtons's constant have become possible [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The non-perturbative renormalization group equation underlying this approach defines a Wilsonian RG flow on a theory space which consists of all diffeomorphism invariant functionals of the metric g µν .…”

Section: Introductionmentioning

confidence: 99%

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

Bonanno¹

2011

Proceedings of Workshop on Continuum and Lattice Approaches to Quantum Gravity — PoS(CLAQG08)

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In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus antiscreened. This phenomenon has several astrophysical implications. In particular in this article recent works on renormalization group improved cosmologies based upon a renormalization group trajectory of Quantum Einstein Gravity with realistic parameter values will be reviewed. It will be argued that quantum effects can account for the entire entropy of the present Universe in the massless sector and give rise to a phase of inflationary expansion. Moreover, the prediction for the final state of the black hole evaporation, is a Planck size remnant which is formed in an infinite time. Workshop on Continuum and Lattice Approaches to Quantum Gravity

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Is quantum Einstein gravity nonperturbatively renormalizable?

Cited by 225 publications

References 48 publications

A functional renormalization group equation for foliated spacetimes

A functional renormalization group equation for foliated spacetimes

Proper Time Flow Equation for Gravity

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

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